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203203312440 = 23358321379547
BaseRepresentation
bin1011110100111111011…
…1000111101100111000
3201102111120212211001220
42331033313013230320
511312130021444230
6233203400112040
720452365441222
oct2751767075470
9642446784056
10203203312440
11791a5a77257
1233470465620
1316214b7a61b
149b996cd412
1554447c8d10
hex2f4fdc7b38

203203312440 has 128 divisors (see below), whose sum is σ = 617307989760. Its totient is φ = 53504031744.

The previous prime is 203203312331. The next prime is 203203312463. The reversal of 203203312440 is 44213302302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 203203312440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21279747 + ... + 21289293.

It is an arithmetic number, because the mean of its divisors is an integer number (4822718670).

Almost surely, 2203203312440 is an apocalyptic number.

203203312440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203203312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308653994880).

203203312440 is an abundant number, since it is smaller than the sum of its proper divisors (414104677320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203203312440 is a wasteful number, since it uses less digits than its factorization.

203203312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11781 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 203203312440 its reverse (44213302302), we get a palindrome (247416614742).

The spelling of 203203312440 in words is "two hundred three billion, two hundred three million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2137 2490 3320 4274 4980 6411 8548 9547 9960 10685 12822 17096 19094 21370 25644 28641 32055 38188 42740 47735 51288 57282 64110 76376 85480 95470 114564 128220 143205 177371 190940 229128 256440 286410 354742 381880 532113 572820 709484 792401 886855 1064226 1145640 1418968 1584802 1773710 2128452 2377203 2660565 3169604 3547420 3962005 4256904 4754406 5321130 6339208 7094840 7924010 9508812 10642260 11886015 15848020 19017624 20401939 21284520 23772030 31696040 40803878 47544060 61205817 81607756 95088120 102009695 122411634 163215512 204019390 244823268 306029085 408038780 489646536 612058170 816077560 1224116340 1693360937 2448232680 3386721874 5080082811 6773443748 8466804685 10160165622 13546887496 16933609370 20320331244 25400414055 33867218740 40640662488 50800828110 67734437480 101601656220 203203312440